Density dependent gauge field inducing emergent SSH physics, solitons and condensates in a discrete nonlinear Schrödinger equation
arXiv:2307.02952 · doi:10.1103/PhysRevLett.132.023401
Abstract
We investigate a discrete non-linear Schrödinger equation with dynamical, density-difference-dependent, gauge fields. We find a ground-state transition from a plane wave condensate to a localized soliton state as the gauge coupling is varied. Interestingly we find a regime in which the condensate and soliton are both stable. We identify an emergent chiral symmetry, which leads to the existence of a symmetry protected zero energy edge mode. The emergent chiral symmetry relates low and high energy solitons. These states indicate that the interaction acts both repulsively and attractively.
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